Preheat broiler and lightly brush a shallow baking pan with some oil. Finely chop garlic and in a small bowl stir together with cilantro and salt. Pat chicken dry and trim any fat.
To form a pocket in chicken for filling: Put a chicken breast half on a cutting board and, beginning in middle of one side of breast, horizontally insert a sharp thin knife 3/4 of the way through center, moving knife in a fanning motion to create a pocket. (Opening will only be about 1 inch wide) Make pockets in remaining chicken breats in same manner. Put about 1/2 tablespoon filling into each pocket and with finger spread evenly.
Transfer chicken to baking pan and brush with remaining oil. Season chicken with salt and pepper and broil 5-6 inches from heat 7 minutes. Turn chicken over and broil until just cooked through, 3-5 minutes more.
Serve ((some other stuff))
Serves 4.